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Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux |
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| Authors: | Zhongping Li Chunlai Mu Zejian Cui |
| Institution: | (1) Department of Mathematics, China West Normal University, Nanchong, 637002, P. R. China;(2) College of mathematics and physics, Chongqing University, Chongqing, 400044, P. R. China |
| Abstract: | This paper deals with the critical curves of the fast diffusive polytropic filtration equations coupled via nonlinear boundary flux. By constructing self-similar super and sub solutions we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35K50 35K55 35K65 35B33 |
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